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If the voltage V in an electric circuit is held constant, the current I is inversely proportional to the resistance R. If the current is 50 amperes when the resistance is 240 ohms, find the current when the resistance is 150
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, ris 71 mph when t is 2 seconds. Find the speed of a car that travels the given distance in 3 seconds.
Your friend mistakenly wrote down the first six multiples of 12, as: 1,2,3,4,6 and 12.show how you would explain how to find the first six multiples of 12.
The speedometer on a car is calibrated to read faster than the actual speed. A speed of 55km/h show as 60km/h on the speedometer
a) Calculate the actual speed when the speedometer is showing 90km/h?
b) What speed shows on the speedometer when the car is travelling at 120km/h?
a) If 𝐴 =
1
2
[
1 1
1 1
], then 𝐴
100 = (
1
2
)
100 [
1 1
1 1
].
b) For any three matrices 𝐴, 𝐵 and 𝐶, if 𝐴𝐵 = 𝐵𝐴 and 𝐵𝐶 = 𝐶𝐵, then 𝐴𝐶 = 𝐶𝐴.
c) If (𝐼 − 2𝐴
𝑇
)
−1 = [
2 1
1 1
], then 𝐴 =
1
2
[
0 1
1 −1
].
d) If 𝐴 and 𝐵 are 4 × 4 nonsingular matrices such that |2𝐴
−1𝐵
2
| = 32, then
|𝐴| =
|𝐵|
2
2
.
e) Let 𝑆 = {(1,0,0,0), (01,0,0), (2,3,5𝑎, 0), (𝑎, 0,2, 𝑎 − 2)} be set of vectors in
ℝ
4
. The set 𝑆 is linearly independent if and only if 𝑎 ≠ 0.
How much cake flour, baking powder, and cream will she need to make the recipe four times bigger when she uses 1 egg, 2 cups of flour, 4 teaspoons of baking powder and 3 /4 cup of cream and 1/2 teaspoon of salt
What is the role of teaching in the meaningful learning of mathematics.Explain and illustrate your arguments by means of specific topic from school algebra
Discuss the influence of social cultural aspects of the mathematics classroom on the meaningful learning of mathematics in practical terms?
The y intercept is the point where the line intersects the x-axis. Is this statement true or false
Use the Upper and Lower Bounds Theorem to show that the real zeros of
(i) P (x) = 2x^3-7x^2+4x+4 lie between −4 and 2.
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#339914 on Dec 2023